Proof of the Tadic conjecture U0 on the unitary dual of GL(m,D)

Vincent Secherre

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arXiv · math/0702023

Proof of the Tadic conjecture U0 on the unitary dual of GL(m,D)

Vincent Secherre

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Abstract

Let F be a non-Archimedean local field of characteristic 0, and let D be a finite dimensional central division algebra over F. We prove that any unitary irreducible representation of a Levi subgroup of GL(m,D), with m a positive integer, induces irreducibly to GL(m,D). This ends the classification of the unitary dual of GL(m,D) initiated by Tadic.

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BibTeX RIS

Vincent Secherre. 2007-02-01. Proof of the Tadic conjecture U0 on the unitary dual of GL(m,D). https://arxiv.org/abs/math/0702023

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